MathDB

10.4

Part of VII Soros Olympiad 2000 - 01

Problems(1)

inradius of triangle with vertices feet of altitudes, circumcenter, centroid

Source: VII Soros Olympiad 2000-01 Round 1 , 10.4

7/4/2021
An acute-angled triangle is inscribed in a circle of radius RR. The distance between the center of the circle and the point of intersection of the medians of the triangle is dd. Find the radius of a circle inscribed in a triangle whose vertices are the feet of the altitudes of this triangle.
geometryinradiusCentroid